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46380464 = 2413317193
BaseRepresentation
bin1011000011101…
…1010110110000
310020021101000222
42300323112300
543333133324
64334032212
71102141004
oct260732660
9106241028
1046380464
11241a9369
1213648668
1397bba80
146234704
15411255e
hex2c3b5b0

46380464 has 40 divisors (see below), whose sum is σ = 99910272. Its totient is φ = 20712960.

The previous prime is 46380457. The next prime is 46380479. The reversal of 46380464 is 46408364.

It is a happy number.

46380464 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×463804642 = 4302294881710592, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2852 + ... + 10044.

Almost surely, 246380464 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 46380464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49955136).

46380464 is an abundant number, since it is smaller than the sum of its proper divisors (53529808).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

46380464 is a wasteful number, since it uses less digits than its factorization.

46380464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7245 (or 7239 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 35.

The square root of 46380464 is about 6810.3204036227. The cubic root of 46380464 is about 359.2899171889.

The spelling of 46380464 in words is "forty-six million, three hundred eighty thousand, four hundred sixty-four".

Divisors: 1 2 4 8 13 16 26 31 52 62 104 124 208 248 403 496 806 1612 3224 6448 7193 14386 28772 57544 93509 115088 187018 222983 374036 445966 748072 891932 1496144 1783864 2898779 3567728 5797558 11595116 23190232 46380464